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A cylindrical container filled with water having a cross section 0.04 m^2 is placed on a scale. The scale reads 235 N. Now a ball is put into the container. The ball floats on the water and the reading of the scale is 267 N. The density of water is 1000 kg/m^3.
a) What is the rise in water surface after the ball is put in the water compared to before?
b) To immerse the ball totally under the water's surface requires a downward force of 13 N. What is the density of the ball?
c) Now, suppose the ball is hollow inside. The ball is cut into two halves and sinks to the bottom. The height of the water surface compared to when the ball floats would be?
Two metal plates are held together by two steel rivets, each of diameter 0.24cm and length 1.2cm.How much force has to be applied parallel to the plates to shear off both rivets.
One solenoid is centered inside another. The outer one has a length of 47.0cm and contains 6800 coils, Find the emf induced in the inner solenoid
Measuring distances to high precision is a critical goal in engineering. Numerous devices to exist to perform such measurements, with many involving laser light. How far was the laser originally from the object
A 1051 kg coasts down a hill 40 m high with its engine off and the driver's foot pressing the brake pedal. How much energy was converted into heat on the way down
The mean (average) of their squares
You fly from Boston's Logan Airport, at sea level, to Denver, at an altitude of 1.6km. What is your gravitational potential energy at the plane's 13km cruising altitude
Starting from rest, you pull the string with a constant force F = 8 N along a nearly frictionless surface. At the instant while the center of the disk has moved a distance x = 0.12 m, a length d = 0.27 m of string has unwound off the disk.
An interferometer is used to measure the length of a bacterium. The wavelength of the light used is 650 nm. How long is the bacterium
Throughout a hard sneeze, your eyes may shut for 0.41 s. If you are driving a car at 98 km/h during such a sneeze, how far does the car move during that time.
An electron is released from rest at the negative plate of a parallel plate capacitor. How fast is the electron moving just before it reaches the positive plate
A parallel plate capacitor is connected to a battery. The space between the plates is filled with air. Find the electric field inside the dielectric
Two ants race across a table 73cm. long. One travels at 4.18cm/s and the other at 3cm/s. When the first one crosses finish line, how far behind is the second one.
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